On The Construction of Zero Energy States in Supersymmetric Matrix Models III

TL;DR

This paper constructs zero energy states for a supersymmetric matrix model related to 11-dimensional supermembranes, highlighting a symmetry and an energy-equipartition property that aid in understanding these states.

Contribution

It introduces a method to explicitly construct zero energy states in a supersymmetric matrix model, emphasizing symmetry and energy distribution properties.

Findings

Zero energy states are explicitly constructed.

A symmetry of the model is identified.

An energy-equipartition property is demonstrated.

Abstract

For a supersymmetric Hamiltonian appearing in the matrix model related to 11 dimensional supermembranes, zero energy states are constructed. A useful symmetry, and an energy-equipartition property is pointed out.